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Finding the Fourth Proportional to 202,803, 304,204.56 and 55,059

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Solution

The fourth proportional to 202,803, 304,204.56 and 55,059 is: 82,588.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,803 : 304,204.56 = 55,059 : x
  2. Step 2: Convert to fraction form
    202,803/304,204.56 = 55,059/x
  3. Step 3: Cross multiply
    202,803x = 304,204.56 × 55,059
  4. Step 4: Simplify right side
    202,803x = 16,749,198,869.04
  5. Step 5: Solve for x
    x = 16,749,198,869.04/202,803
  6. Step 6: Final answer
    x = 82,588.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.